Every computation defaults to cubic lattice topology: 6 neighbors, 3 axes. Nobody chose it. It was just there.
The FCC lattice gives each node 12 neighbors along 6 face-diagonal directions. Its Voronoi cell is the rhombic dodecahedron. Kepler proved it packs spheres optimally in 1611. Hales confirmed it in 2005.
Under real-world heterogeneous conditions, it provides 6.1× the algebraic connectivity of the cube.
The cube is not the enemy — it is the skeleton. The rhombic dodecahedron contains the cube: its 8 trivalent vertices ARE the cube's corners. The 6 tetravalent vertices are the bridges. TeLoRA adds a learnable bridge matrix between LoRA's A and B projections. A cybernetic feedback mechanism (the Steersman) programs a chosen coupling topology into that bridge — the rhombic dodecahedron is the canonical target, not a discovery: 100% block-diagonal bridges, coupling ratios of order 10⁴–10⁵:1 (provisional pending controller re-verification). The mechanism is topology-agnostic, and the geometry does not emerge from data on its own — we publish the nulls that say so.
Published from the repository with public artifacts — pre-registered, adversarially audited, numbers re-derived from committed data.
| Paper | Result | Artifacts | |
|---|---|---|---|
| XR-001 | Typed State Beats Prose July 14, 2026 |
Prose re-encoding corrupts 36.4% of numeric facts vs 9.4% for typed state blocks at matched token budgets (McNemar p = 3.524×10⁻²¹). The loss happens at write time. | Page · PDF · Pre-registration |
| Asset-1 | The Gauge Is the Obstacle July 29, 2026 |
480-adapter pre-registered bank. Raw weights fail task identification (0.0792 / 0.1375 against chance 0.1667); GL(r)-gauge-canonical features reach 1.0000. Weight-only merge-conflict prediction at group-aware AUC 0.995 / 0.962. | Page · PDF · Dataset · Audit ledger |
Papers 1–3 are the rhombic lattice arc — Paper 1 complete, Papers 2–3 working drafts, none submitted.
| Paper | Question | Answer | |
|---|---|---|---|
| 1 | The Comparison | What happens when you replace the cube? | 6.1× algebraic connectivity |
| 2 | The Mechanism | Does structure amplify or attenuate? | Fiedler eigenvalue ≈0.10 (scale-invariant) |
| 3 | The Programming | What happens when you embrace the cube? | The Steersman programs RD geometry into the bridge at n=6 |
| Repo | What it does | ||
|---|---|---|---|
| 🔸 | rhombic | Lattice topology benchmarks + TeLoRA neural module. Home of both released papers. 827 tests, Python 3.10–12. |  |
| ⚔️ | the-adversary | Agent-driven adversarial paper audit framework, v2: a three-stage CHECK/FIND/VERIFY engine. Its Asset-1 ladder ran 7 rounds across 19 lenses — 117 confirmed findings, 92 fixed, dispositions public. |  |
| 📖 | LIOTHIL | Research environment scaffold for Claude Code. Drop the CLAUDE.md, start researching. |  |
Cybernetics was born as the science of communication and control — the study of how systems regulate themselves through circular causation. TASUMER MAF applies this principle at every scale.
| Scale | System | What emerges |
|---|---|---|
| Micro | Weight matrix | TeLoRA bridge discovers rhombic dodecahedral geometry |
| Meso | Research loop | Evidence → tools → consulting → experiments |
| Macro | Enterprise | The organization produces the research that produces the organization |
Examine every default. Eat your own cooking. The geometry is the argument.
TASUMER MAF — Promptcrafted LLC · Los Angeles · 1093 = prime.